Generic systems of co-rank one vector distributions

Jacobowitz, Howard

doi:10.1090/S0002-9947-06-03998-5

Generic systems of co-rank one vector distributions
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Trans. Amer. Math. Soc. 358 (2006), 4521-4531 Request permission

Abstract:

This paper studies a generic class of sub-bundles of the complexified tangent bundle. Involutive, generic structures always exist and have Levi forms with only simple zeroes. For a compact, orientable three-manifold the Chern class of the sub-bundle is mod $2$ equivalent to the Poincaré dual of the characteristic set of the associated system of linear partial differential equations.

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